18 Cambridge O Level Mathematics Syllabus D 40244029. Syllabus for examination in 2018, 2019 and 2020.
Theme or topic Subject content
Notesexamples 33. Loci
• use the following loci and the method of intersecting loci for sets
of points in two dimensions which are:
a at a given distance from a given
point b
at a given distance from a given straight line
c equidistant from two given
points d
equidistant from two given intersecting straight lines
34. Measures
• use current units of mass, length, area, volume and capacity in
practical situations and express quantities in terms of larger or
smaller units Convert between units including units
of area and volume. e.g. between mm
2
and cm
2
or between cm
3
, m
3
and litres
35. Mensuration • solve problems involving:
a the perimeter and area of a
rectangle and triangle b
the perimeter and area of a parallelogram and a trapezium
c the circumference and area of a
circle d
arc length and sector area as fractions of the circumference
and area of a circle
e the surface area and volume
of a cuboid, cylinder, prism, sphere, pyramid and cone
f the areas and volumes of
compound shapes Formulae will be given for the surface
area and volume of the sphere, pyramid and cone.
19 Cambridge O Level Mathematics Syllabus D 40244029. Syllabus for examination in 2018, 2019 and 2020.
Theme or topic Subject content
Notesexamples 36. Trigonometry
• interpret and use three-i gure bearings
• apply Pythagoras’ theorem and the sine, cosine and tangent ratios for
acute angles to the calculation of a side or of an angle of a right-angled
triangle
• solve trigonometrical problems in two dimensions involving angles of
elevation and depression • extend sine and cosine functions to
angles between 90° and 180° • solve problems using the sine and
cosine rules for any triangle and the formula
area of triangle = 2
1 ab sin C
• solve simple trigonometrical problems in three dimensions
Measured clockwise from the north, i.e. 0008–3608.
e.g. Find the bearing of A from B if the bearing of B from A is 1258
Angles will be quoted in, and answers required in, degrees and decimals of a
degree to one decimal place.
Calculations of the angle between two planes or of the angle between
a straight line and plane will not be required.
37. Vectors in two dimensions
• describe a translation by using a vector represented by
, x
y AB
J L
KKK N
P OOO
or a
• add and subtract vectors • multiply a vector by a scalar
• calculate the magnitude of a vector x
y J
L KKK
N P
OOO as
x y
2 2
+ • represent vectors by directed line
segments • use the sum and difference of two
vectors to express given vectors in terms of two coplanar vectors
• use position vectors Vectors will be printed as
AB or a and
their magnitudes denoted by modulus signs, e.g.
AB or
a .
In their answers to questions candidates are expected to indicate a
in some dei nite way, e.g. by an arrow AB
or by underlining as follows a.
20 Cambridge O Level Mathematics Syllabus D 40244029. Syllabus for examination in 2018, 2019 and 2020.
Theme or topic Subject content
Notesexamples 38. Matrices
• display information in the form of a matrix of any order
• solve problems involving the calculation of the sum and product
where appropriate of two matrices, and interpret the results
• calculate the product of a matrix and a scalar quantity
• use the algebra of 2 × 2 matrices including the zero and identity 2 × 2
matrices • calculate the determinant
A and inverse A
–1
of a non-singular
matrix A 39. Transformations
• use the following transformations of the plane: rel ection M, rotation
R, translation T, enlargement E and their combinations
• identify and give precise descriptions of transformations
connecting given i gures • describe transformations using
coordinates and matrices If Ma = b and Rb = c the notation
RMa = c will be used. Invariants under these transformations
may be assumed.
Singular matrices are excluded.
40. Probability • calculate the probability of a single
